Abstract and Applied Analysis
Volume 2012 (2012), Article ID 809626, 8 pages
http://dx.doi.org/10.1155/2012/809626
Research Article

The Uniform Boundedness Theorem in Asymmetric Normed Spaces

C. Alegre,1 S. Romaguera,1 and P. Veeramani2

1Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, Spain
2Department of Mathematics, Indian Institute of Technology Madras, Chennai 6000 36, India

Received 5 July 2012; Accepted 27 August 2012

Academic Editor: Yong Zhou

Copyright © 2012 C. Alegre et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.